A invests ₹6,00,000 more than B in a business. B invests his capital for $7\frac{1}{2}$ months, while A invests his capital for $2\frac{1}{2}$ more months than B. Out of the total profit of ₹12,40,000, if the share of B is ₹2,48,000 less than the share of A, then the capital of B is:
Answer & explanation
Correct answer: option 3
Total profit = 12,40,000
Let profit of A be x
Profit of B = x – 248000
x + x – 2,48,000 = 12,40,000
2x = 12,40,000 + 2,48,000
2x = 1488000
x = 744000
Profit of A = 744000
Profit of B = 744000 – 248000 = 496000
ratio of Profit of A : B
744000 : 496000
3 : 2
Time of investment of B = 7.5 months
Time of investment of A = 7.5 + 2.5 = 10months
Let investment of A = P & Investment of B = Q
So , \(\frac{10P}{7.5Q}\) = \(\frac{3}{2}\)
\(\frac{P}{Q}\) = \(\frac{9}{8}\)
ATQ, (9-8)R = 600000
Capital of B = 8 × 600000 = 4800000